Question

(v) If the angles of a triangle are in the ratio 2:3:4,
determine the three angles.​

Answer 1

᯽︎Question:-

• If the angles of a triangle are in the ratio 2:3:4,determine the three angles.

✻Concept used:-

• Angle sum property of triangle
• We know that the sum of angles of a triangle is 180°.

✵To find:-

• The angles of the triangle

✾Solution:-

• Let the angles be 2x,3x,4x

➥2x+3x+4x=180°

➥9x=180°

$\bf \: ➥x = \frac{180}{9}$

➥x= 20

$\boxed{ \underline{ \mathfrak{ \green{Therefore \: the \: angles \: are:-}}}}$

• 2x= 2×20=40°
• 3x=3×20=60°
• 4x=20×4=80°

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Answer 2

Answer:

40°,60°,80°

Step-by-step explanation:

sum of all angles of triangle =180°

→ let angles of triangle = 2x,3x,4x.

→ 2x + 3x + 4x = 180°

→ 9x = 180°

→ x = (180/9)°

→ x = 20°

→ The angles are,

(2x = 2×20 = 40°),

(3x = 3×20 = 60°),

(4x = 4×20 = 80°).

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